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Finding the Fourth Proportional to 6,746.52, 10,119.78 and 5,589.84

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Solution

The fourth proportional to 6,746.52, 10,119.78 and 5,589.84 is: 8,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.52 : 10,119.78 = 5,589.84 : x
  2. Step 2: Convert to fraction form
    6,746.52/10,119.78 = 5,589.84/x
  3. Step 3: Cross multiply
    6,746.52x = 10,119.78 × 5,589.84
  4. Step 4: Simplify right side
    6,746.52x = 56,567,951.04
  5. Step 5: Solve for x
    x = 56,567,951.04/6,746.52
  6. Step 6: Final answer
    x = 8,384.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.